9514 1404 393
Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
Answer:
y=11x+12
Step-by-step explanation:
y = 6(x + 2) + 5x
y=6x+12+5x
y=11x+12
in slope interception form= y=mx+c
y=11x+12
Answer:
23. ![\frac{4\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B3%7D%20%7D%7B3%7D)
24. ![\frac{7\sqrt{3}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Csqrt%7B3%7D%7D%7B3%7D)
25. ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
26. ![\frac{10\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Csqrt%7B3%7D%20%7D%7B3%7D)
27. ![14](https://tex.z-dn.net/?f=14)
28. ![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
Step-by-step explanation:
To solve these i used SOHCAHTOA
![sin=\frac{opposite}{adjacent}\\ cos=\frac{adjacent}{hypotenuse} \\tan=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=sin%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%5C%5C%20cos%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5Ctan%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
23.
Find the missing side using Tangent
![tan(30)=\frac{x}{4}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B4%7D)
![4*tan(30)=x](https://tex.z-dn.net/?f=4%2Atan%2830%29%3Dx)
![\frac{4\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B3%7D%20%7D%7B3%7D)
24.
Find the missing side using Tangent
![tan(30)=\frac{x}{7}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B7%7D)
![7*tan(30)=x](https://tex.z-dn.net/?f=7%2Atan%2830%29%3Dx)
![\frac{7\sqrt{3}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Csqrt%7B3%7D%7D%7B3%7D)
25.
Find the missing side using Tangent
![tan(30)=\frac{x}{18}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B18%7D)
![18*tan(30)=x](https://tex.z-dn.net/?f=18%2Atan%2830%29%3Dx)
![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
26.
Find the missing side using Tangent
![tan(30)=\frac{x}{10}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B10%7D)
![10*tan(30)=x](https://tex.z-dn.net/?f=10%2Atan%2830%29%3Dx)
![\frac{10\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Csqrt%7B3%7D%20%7D%7B3%7D)
27.
Find the missing side using Tangent
![tan(30)=\frac{x}{14\sqrt{3} }](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B14%5Csqrt%7B3%7D%20%7D)
![(14\sqrt{3}) *tan(30)=x](https://tex.z-dn.net/?f=%2814%5Csqrt%7B3%7D%29%20%2Atan%2830%29%3Dx)
![14](https://tex.z-dn.net/?f=14)
28.
Find the missing side using Tangent
![tan(30)=\frac{x}{12}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B12%7D)
![12*tan(30)=x](https://tex.z-dn.net/?f=12%2Atan%2830%29%3Dx)
![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
The first answer is a and the second answer is d
Answer:
The equation of the line is:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)
Step-by-step explanation:
Given the points
Finding the slope between the points
![\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cmathrm%7BSlope%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)](https://tex.z-dn.net/?f=%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-2%2C%5C%3A-5%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%281%2C%5C%3A1%5Cright%29)
![m=\frac{1-\left(-5\right)}{1-\left(-2\right)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1-%5Cleft%28-5%5Cright%29%7D%7B1-%5Cleft%28-2%5Cright%29%7D)
![m=2](https://tex.z-dn.net/?f=m%3D2)
We know the slope-intercept form of the line equation
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope and b is the slope-intercept form
substituting the value m=2 and the point (-2, -5) to find the b-intercept
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
-5 = 2(-2) + b
b = -5+4
b = -1
Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line
y=mx+b
y=2x+(-1)
y=2x-1
Thus, the equation of the line is:
![y=2x-1](https://tex.z-dn.net/?f=y%3D2x-1)